Cancer cell population growth kinetics at low densities deviate from the exponential growth model and suggest an Allee effect

PLoS Biology
Kaitlyn E. JohnsonAmy Brock

Abstract

Most models of cancer cell population expansion assume exponential growth kinetics at low cell densities, with deviations to account for observed slowing of growth rate only at higher densities due to limited resources such as space and nutrients. However, recent preclinical and clinical observations of tumor initiation or recurrence indicate the presence of tumor growth kinetics in which growth rates scale positively with cell numbers. These observations are analogous to the cooperative behavior of species in an ecosystem described by the ecological principle of the Allee effect. In preclinical and clinical models, however, tumor growth data are limited by the lower limit of detection (i.e., a measurable lesion) and confounding variables, such as tumor microenvironment, and immune responses may cause and mask deviations from exponential growth models. In this work, we present alternative growth models to investigate the presence of an Allee effect in cancer cells seeded at low cell densities in a controlled in vitro setting. We propose a stochastic modeling framework to disentangle expected deviations due to small population size stochastic effects from cooperative growth and use the moment approach for stochastic parameter es...Continue Reading

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Jun 14, 2020·Bulletin of Mathematical Biology·Nabil T Fadai, Matthew J Simpson
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Methods Mentioned

BETA
fluorescence activated cell sorting
FACS

Software Mentioned

Incucyte Zoom
MATLAB

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